New limit theorems for the coupon collector's problem

Jelena Jockovic; Pavle Mladenovic

Mathematical Conferences Niš, Serbia, 13th Serbian Mathematical Congress

Jelena Jockovic, Pavle Mladenovic

Last modified: 2014-01-31

Abstract

This paper deals with various extensions of the coupon collector's problem which are obtained by changing the stopping criterion. Proving limit results in these cases may involve a number of technical difficulties. We give some new limit theorems related to this problem, and discuss possible generalizations.

Keywords

Coupon collector's problem; Limit theorems; Extreme value distributions; Generalized Pareto distributions